Higher dimensional charged static and rotating solutions in mimetic gravity

Abstract We find new solutions to the Einstein–Maxwell equations in the presence of mimetic field in D dimensions, all of which are asymptotically anti-de Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the calculations to six and seven dimensions, we obtain a...

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Bibliographic Details
Main Author: Hamid R. Bakhtiarizadeh
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10509-4
Description
Summary:Abstract We find new solutions to the Einstein–Maxwell equations in the presence of mimetic field in D dimensions, all of which are asymptotically anti-de Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the calculations to six and seven dimensions, we obtain a general form for solutions in dimensions larger than four. The results describe electrically charged static and rotating solutions, which have spherical, toroidal or cylindrical horizons. The solutions, depending on their global identifications, can be regarded as black holes, or black strings/branes. Some physical properties of solutions such as horizons, singularities as well as entropy, mass, and angular momenta of rotating solutions are also investigated.
ISSN:1434-6052